What is the derivative of y=(x^5-1)^3 ?

The derivative of y=(x^5-1)^3 is 15x^4(x^5-1)^2

What is the first derivative of y=(x^5-1)^3 ?

The first derivative of y=(x^5-1)^3 is 15x^4(x^5-1)^2

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derivative of

y = (x^{5} - 1)^{3}

15 x^{4} (x^{5} - 1)^{2}

Solution steps

\frac{d}{d x} ((x^{5} - 1)^{3})

Apply the chain rule:

3 (x^{5} - 1)^{2} \frac{d}{d x} (x^{5} - 1)

= 3 (x^{5} - 1)^{2} \frac{d}{d x} (x^{5} - 1)

\frac{d}{d x} (x^{5} - 1) = 5 x^{4}

= 3 (x^{5} - 1)^{2} \cdot 5 x^{4}

Simplify

= 15 x^{4} (x^{5} - 1)^{2}

x \to 0 lim (x sin (\frac{1}{∣ x ∣}))

- 2 e^{- x^{2}} x

\int \frac{1}{1 - x ^{3}} d x

\frac{d y}{d x} = \frac{( 2 x ( y - 2 ) )}{x ^{2} + 1}

\int_{0}^{2} x^{3} - 3 x^{2} + 2 x d x

What is the derivative of y=(x^5-1)^3 ?
The derivative of y=(x^5-1)^3 is 15x^4(x^5-1)^2
What is the first derivative of y=(x^5-1)^3 ?
The first derivative of y=(x^5-1)^3 is 15x^4(x^5-1)^2